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Finding the Fourth Proportional to 2,863.07, 4,293.93 and 914.75

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Solution

The fourth proportional to 2,863.07, 4,293.93 and 914.75 is: 1,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.07 : 4,293.93 = 914.75 : x
  2. Step 2: Convert to fraction form
    2,863.07/4,293.93 = 914.75/x
  3. Step 3: Cross multiply
    2,863.07x = 4,293.93 × 914.75
  4. Step 4: Simplify right side
    2,863.07x = 3,927,872.47
  5. Step 5: Solve for x
    x = 3,927,872.47/2,863.07
  6. Step 6: Final answer
    x = 1,371.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.